1. Geometry 4-3 Triangle Congruence by ASA and AAS

2. Investigation Break one piece of spaghetti into three similar length sizes. Arrange the pieces into a triangle How many different triangles can you make? Trace each that is different and compare.

3. Included Sides An “Included Side” is the side that is directly between two angles

4. Which side in the following triangle is the “included side”? A B Included Sides

5. Which side in the following triangle is the “included side”? A B Included Sides

6. Which side in the following triangle is the “included side”? A B Included Sides

7. Which side in the following triangle is the “included side”? A B Included Sides

8. Investigating ASA Get your supplies ready –Ruler –Marker or pencil –Two sheets of Patty Paper

9. Investigating ASA Draw a triangle on one sheet of Patty Paper

10. Investigating ASA Pick and mark two angles of the triangle A B

11. Investigating ASA Copy the marked angle and the two adjacent sides Cut them out, the sides can be any length

12. Investigating ASA Using the Angle – Side - Angle that you cut out Can you form any triangle that is NOT congruent to the original triangle?

13. Investigating ASA Is it possible to form a new triangle that is NOT congruent to your original triangle? This is called Angle-Side-Angle congruence

14. ASA Congruence

15. Triangle Congruence AAS

16. Non-Included Sides An “Non-Included Side” is the side that is Adjacent to two angles

17. Describe the following triangle congruence A B Identify The Congruency AAS

18. Describe the following triangle congruence A B Identify The Congruency ASA

19. Describe the following triangle congruence A B Identify The Congruency AAS

20. Describe the following triangle congruence A Identify The Congruency SAS

21. Describe the following triangle congruence A Identify The Congruency SAS

22. Describe the following triangle congruence A B Identify The Congruency ASA

23. Describe the following triangle congruence A B Identify The Congruency ASA

24. Describe the following triangle congruence A B Identify The Congruency AAS

25. Describe the following triangle congruence A B Identify The Congruency AAS

26. Describe the following triangle congruence A B Identify The Congruency AAS

27. Describe the following triangle congruence A Identify The Congruency SAS

28. Describe the following triangle congruence A B Identify The Congruency AAA C

29. Describe the following triangle congruence A B Identify The Congruency AAS

30. Investigating AAS Get your supplies ready –Ruler –Marker or pencil –Two sheets of Patty Paper –Scissors

31. Investigating AAS Draw a triangle on one sheet of Patty Paper

32. Investigating AAS Pick and mark two angles of the triangle A B

33. Investigating AAS Mark an adjacent side A B

34. Investigating AAS Copy the marked side, and its adjacent angle only onto a piece of patty paper Cut it out

35. Investigating AAS Copy the OTHER angle onto a piece of patty paper, cut it out

36. Investigating AAS Using the Angle – Angle - Side that you cut out Can you form any triangle that is NOT congruent to the original triangle?

37. AAS Congruence

38. 1.Side Side Side congruence 2. Side Angle Side congruence

39. 1.Angle T 2.Angle C 3.Angle S 4.Angle G

40. 5. SSS Congruence 6. Not enough information given

45. Yes, SAS Congruence

46. Yes, ASA Congruence

47. Yes, SAS Congruence

48. Yes, SSS Congruence

49. Yes, SAS Congruence

51. Yes, AAS

52. Yes, ASA

53. Yes, AAS

54. Yes, SAS

55. Yes, ASA

56. Yes, AAS

61. Homework Pages 197 – 200 9 – 18, 29, 32

62. Honors Homework Pages 197 – 200 9 – 18, 28, 29, 32